Atkin-Lehner |
2+ 3+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
33072b |
Isogeny class |
Conductor |
33072 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
39940731088128 = 28 · 32 · 133 · 534 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 -6 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8908,113776] |
[a1,a2,a3,a4,a6] |
Generators |
[172:-1908:1] [12:92:1] |
Generators of the group modulo torsion |
j |
305402877250000/156018480813 |
j-invariant |
L |
6.4783134654368 |
L(r)(E,1)/r! |
Ω |
0.56994593440341 |
Real period |
R |
2.8416350895716 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16536g2 99216g2 |
Quadratic twists by: -4 -3 |